no. 6
On the Kawamata–Viehweg vanishing theorem for log Calabi–Yau surfaces in large characteristic
Kawakami, Tatsuro1
1Department of Mathematics, Graduate School of Science, Kyoto University, Kyoto 606-8502 (Japan)
Annales de l'Institut Fourier, Volume 75 (2025) no. 6, pp. 2657-2675

We prove that the Kawamata–Viehweg vanishing theorem holds for a log Calabi–Yau surface $(X, B)$ over an algebraically closed field of large characteristic when $B$ has standard coefficients.

Nous démontrons le théorème d’annulation de Kawamata–Viehweg pour une surface log Calabi–Yau $(X, B)$ sur un corps algébriquement clos de grande caractéristique, lorsque $B$ a des coefficients standards.

Received:
Revised:
Accepted:
Online First:
Published online:
DOI: 10.5802/aif.3709
Classification: 14F17, 14E30, 14D15
Keywords: Kawamata–Viehweg vanishing, log Calabi–Yau surfaces, liftability to the ring of Witt vectors, positive characteristic
Mots-clés : annulation de Kawamata–Viehweg, surfaces log Calabi–Yau, relèvements à l’anneau des vecteurs de Witt, caractéristique positive

Kawakami, Tatsuro  1

1 Department of Mathematics, Graduate School of Science, Kyoto University, Kyoto 606-8502 (Japan)
License: CC-BY-ND 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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Kawakami, Tatsuro. On the Kawamata–Viehweg vanishing theorem for log Calabi–Yau surfaces in large characteristic. Annales de l'Institut Fourier, Volume 75 (2025) no. 6, pp. 2657-2675. doi: 10.5802/aif.3709

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